Pls help with b

The diameters of two circular pulleys are 6cm and 12 cm, and their centres
are 10cm apart.

a. Angle a = 72.54 degrees

b. Hence find, in centimetres correct to one decimal place, the length of a
taut belt around the two pulleys

Answer:

A 3 1 B 2-4 C4-3 then work x and y graph

The response option that demonstrates why the three segments cannot be combined to form a triangle is AC + CB< AB.

According to the triangle inequality, the length of any two sides of a triangle added together must be longer than the length of the third side. Since a straight line is the shortest distance between two places, this conclusion follows. If the triangle isn't degenerate, the inequality is strict (meaning it has a non-zero area).

Since the length of any two sides of a triangle added together is longer than the length of the third side, it follows from the triangle inequalities theorem that this is the case.

As a result, the necessary inequality is AC + CB AB because the sum of sides AC + CB is less than AB.

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I understand that question you are looking for is:

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

A. AC + AB > CB

B. AC + CB < AB

C. AC + CB > AB

D. AC + AB < CB

The value of y from the given figure is 6√3

From the given figure, according to the theorem;

H² = 6² - 3²

H² = 36 - 9

H²  = 27

H = 3√3

Determine the value of y using the same theorem;

y² = 9² + ( 3√3)²

y² = 81. + 27

y = √108

y = 6√3

Hence the value of y from the given figure is 6√3

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Using the relation between velocity, distance and time, it is found that a reasonable estimation of the current is of 1 mph.

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Upstream, against the current, he traveled 3 miles in t hours, hence the equation is:

[tex]2 - c = \frac{3}{t}[/tex]

[tex]c = 2 - \frac{3}{t}[/tex]

Downstream, with the current, he traveled 3 miles in 4 - t hours, hence the equation is:

[tex]2 + c = \frac{3}{4 - t}[/tex]

Hence:

[tex]c = \frac{3}{4 - t} - 2[/tex]

Then, taking the two equal equations:

[tex]2 - \frac{3}{t} = \frac{3}{4 - t} - 2[/tex]

[tex]\frac{3}{4 - t} + \frac{3}{t} = 4[/tex]

[tex]\frac{3t + 12 - 3t}{t(4 - t)} = 4[/tex]

12 = -4t² + 16t

4t² - 16t + 12 = 0

t² - 4t + 3 = 0

(t - 3)(t - 1) = 0.

The current is positive, hence:

[tex]c = 2 - \frac{3}{3}[/tex]

c = 2 - 1

c = 1 mph.

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Performing subtraction operations on the given vectors gives;

u - v = <-2 - 3, -7 - (-4) > = <-5, -3>

Therefore;

u - w = <-2 - 5, -7 - 1> = <-7, -8>

u - w = <-7, -8> which corresponds with graph 2

Therefore;

w - v = <5 - 3, 1 - (-4)> = <2, 5>

w - v = <2, 5> which corresponds with graph 3

Therefore;

v - u = <3 - (-2), -4 - (-7)> = <5, 3>

v - u = <5, 3> which corresponds with graph 4

Therefore;

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Answer:

Step-by-step explanation:

144,72

Answer:

If you cut the rectangle in half, you have two squares of area 144 ft², or side length 12 ft.

The length of the rectangle is 24 ft; its width is 12 ft.

Answer: 239

Step-by-step explanation:

[tex]g(7)=2(7)-5=9\\\\f[g(7)]=f(9)=3(9)^2 - 4=239[/tex]

Answer:

(f - g)(x) = [tex]3^{x}[/tex] + 8x + 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= [tex]3^{x}[/tex] + 10x - (2x - 4) ← distribute parenthesis by - 1

= [tex]3^{x}[/tex] + 10x - 2x + 4 ← collect like terms

= [tex]3^{x}[/tex] + 8x + 4

Answer:

$13.5

Step-by-step explanation:

cost of 1 text message= $1.80÷12 =$0.15

cost of 90 messages = $0.15×90 = $13.5

Answer: $13.50 for 90 text messages

Step-by-step explanation:

$0.15×90 = $13.5

$0.15 is the unit rate for 1 text message cost.

Answer:

Step-by-step explanation:

f(0) = √49 - x^2

f(0) means that wherever you see an x on the right, you put a zero.

so f(0) = √49 - 0^2

f(0) = √49

f(0) = 7

f(-7) = √49 - x^2

Again the meaning is that where you see an x on the right, you substitute - 7 for that x.

f(-7) = √49 - (-7)^2

f(-7) = 7 - 49

f(-7) = - 42

f(9) = √49 - (9)^2

f(9) = 7 - 81

f(9) = - 74

The sum height of men and women is 139600 and 161000 inches respectively. Their mean height is 66.8 inches and the average of their mean is 67.1 inches.

Number of women =2500

Mean height of women = 64.4 inches

So, the total height of 2500 women = 64.4*2500 = 161000 inches

Number of men=2000

Mean height of men = 69.8 inches

So, the total height of 2000 men = 69.8*2000 = 139600 inches

Therefore, the sum height of all 4500 people = 161000+139600 =b

So, their mean height = 300600/ 4500 = 66.8 inches

The sum of mean height of men and women = 64.4 + 69.8 = 134.2 inches

Hence, The average of their mean = 134.2/ 2= 67.1 inches.

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The terms that are possible on the domain of a sequence are given as follows:

13, 25, 60.

A sequence is a list containing numbers, that may be related or not. It has a 1st term, 2nd term, and so on until the nth term.

The domain is the indexes of the terms, which starts at one and goes until n, hence the possible numbers are:

13, 25, 60.

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The null hypothesis is μ≥700 and alternative hypothesis is μ<700, the type of test statistic is t statistic, the statistical test value is -2.650, the critical value is -1.796 and the null hypothesis is reject.

Given the average monthly rent for apartments on the east side of the cities is $700, and the mean for a random sample of 12-month rents for apartments on the east side is $687, with a standard deviation of $17.

Statistical hypothesis testing is an important technique in inferential statistics. Used to test hypotheses about population parameters. Statistical tests are used to compute test statistics and p-values. Finally, use this test statistic and the p-value to make a decision about rejecting the null hypothesis.

(a) Let μ be the population and monthly rent. the null and alternative hypotheses are given below.

Null Hypothesis: μ≥700

Alternative hypothesis: μ< 700 This is a left-sided hypothesis test.

(b) Here, the sample size is less than 30 and the population mean is unknown. Therefore, a one-sample t-test can be used here. Therefore, the t statistic is the test statistic.

(c) Given [tex]\bar{x}[/tex]=687, s=17 and n=12, the test statistic is computed as

[tex]\begin{aligned}t&=\frac{\bar{x}-\mu_{0}}{s/\sqrt{n}}\\ &=\frac{687-700}{17/\sqrt{12}}\\ &=-2.64901888216\\ &=-2.650\end[/tex]

(d) For n-1=12-1=11 degrees of freedom

The critical value for a significance level of 0.05 with 11 degrees of freedom is

[tex]\begin{aligned}t_{crit}&=-1.7959\\ &=-1.796\end[/tex]

(e) Reject the null hypothesis because the statistical test value (-2.650) is less than the critical value (-1.796). There is ample evidence to support the claim that the average monthly rent for East Side apartments is lower than stated on the website.

Hence, The value of test statistic and critical value has a mean of $687 and a standard deviation of $17, which are -2.650 and -1.796.

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The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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Answer:

option A. is the midpoint of the graph

Answer: 60 degrees

Step-by-step explanation:

An interior angle of a polygon and its corresponding exterior angle are supplementary (add to 180 degrees).

The correct answer is 2.930 × [tex]10^{23}[/tex]

What is Avogadro's number?

Avogadro's number, which is equal to 6.02214076 1023, is the quantity of units in one mole of any material (defined as its molecular weight in grams). Depending on the substance and the nature of the reaction, the units may be electrons, atoms, ions, or molecules (if any).

You have two numbers here. While number 2.0550 is stated with five significant figures, Avogadro's number is supplied with four. This implies that you must provide four significant figures with your result.

(6.022 × [tex]10^{23}[/tex]) / 2.0550 = 2.930 × [tex]10^{23}[/tex]

Therefore, the correct answer is 2.930 ×[tex]10^{23}[/tex] .

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Factorize the sum of cubes:

[tex]x^3 + y^3 = (x+y) (x^2 - xy + y^2)[/tex]

so [tex]x^2-xy+y^2[/tex] is a factor of [tex]x^3+y^3[/tex]. Then the HCF is [tex]\boxed{x^2 - xy + y^2}[/tex].

The given points on the final image A''B''C''D'', and the transformation gives;

The coordinates of the vertex A of square ABCD is the option;

D. A(-2, 1)

From the figure, we have;

A''(-5, -3), B''(-3, -1), C''(-1, -3), D''(-3, -5)

The given transformation is presented as follows;

[tex] T_{ (- 4 , \: - 1)} \circ \:R_ {( O , \: 90^{ \circ} )}[/tex]

The formula for a rotation of 90° about the origin is presented as follows;

Therefore;

Therefore;

A''(-5, -3) → A'(-5 + 4, -3 + 1) = A'(-1, -2)

B''(-3, -1) → B'(-3 + 4, -1 + 1) = B'(1, 0)

C''(-1, -3) → C'(-1 + 4, -3 + 1) = C'(3, -2)

D''(-3, -5) → D'(-3 + 4, -5 + 1) = D'(1, -4)

The coordinates of the vertex A of square ABCD is therefore;

D. A(-2, 1)

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Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.

Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)

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The surface area of the figure given is of: 61.3 yd².

The combined surface area of a figure is the area of each figure.

This figure is composed by:

The area of the circle is given as follows:

[tex]A = \pi r^2 = \pi \times 3^2 = 9\pi[/tex]

For the triangle, we need to find it's height, which is the leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4, hence:

h² + 3² = 11.4²

[tex]h = \sqrt{11.4^2 - 3^2}[/tex]

h = 11 yd.

Hence the area of the triangle is:

A = 0.5 x 6 x 11 = 33 yd²

The surface area of the figure is:

9pi + 33 yd² = 61.3 yd².

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Answer:

8.4 meters tall   ( one decimal place)

Step-by-step explanation:

See diagram below:

find distance 'd'   as     tan 68 = opp / adj = d/6

   then   d = 6 tan 68       =  14.85 m

Then find   h   as   tan 9  = h / d

                               d tan 9 = h

                              14.85  tan 9 = h = 2.35 m tall

                                      add the 6 m height of the house    8.4  m tall

Answer:

Step-by-step explanation:

Mabye later

The proportional relationship that represents the market that sells their carrots at a lower rate per pound is: y = 1.6x.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the table, the rate is:

k = $8.8/4.4 = 2.

From the market, the rate is:

k = $4.8/3 = $1.6.

Hence the equation is y = 1.6x.

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Answer:

(っ◔◡◔)っ ♥ 36 square root 2 ♥

Step-by-step explanation:

The length of the hypotenuse of the triangle is approximately 48.99 units.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

We can use the Pythagorean theorem to find the length of the hypotenuse of the triangle:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

Substituting the values given in the problem.

c² = 18² + 36²

c² = 324 + 1296

c² = 1620

Taking the square root of both sides.

c = √(1620)

Simplifying.

c = 6 √(90) or approximately 48.99

Therefore,

The length of the hypotenuse of the triangle is approximately 48.99 units.

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Answer:

The last answer is correct.

Step-by-step explanation:

The w stands for the number of words that she can have.  She has to have at least 150 words so the w has to be equal to 150 or greater.  The w also has to be less then or equal to 500

No, The resulting prediction would be more or less reliable than your original one.

Importance:

Prediction is a forecast or a prophecy. An example of a prediction is a psychic telling a couple they will have a child soon, before they know the woman is pregnant. A statement of what will happen in the future.

Predictions provide a reference point for the scientist. If predictions are confirmed, the scientist has supported the hypothesis. If the predictions are not supported, the hypothesis is falsified. Either way, the scientist has increased knowledge of the process being studied.

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